101263360 has 192 divisors, whose sum is σ = 283046400. Its totient is φ = 34406400.

The previous prime is 101263321. The next prime is 101263361. The reversal of 101263360 is 63362101.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (101263361) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3266545 + ... + 3266575.

It is an arithmetic number, because the mean of its divisors is an integer number (1474200).

Almost surely, 2^101263360 is an apocalyptic number.

101263360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101263360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

101263360 is an abundant number, since it is smaller than the sum of its proper divisors (181783040).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101263360 is a wasteful number, since it uses less digits than its factorization.

101263360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 78 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 101263360 is about 10062.9697405885. The cubic root of 101263360 is about 466.1053750538.

The spelling of 101263360 in words is "one hundred one million, two hundred sixty-three thousand, three hundred sixty".